It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 323 is not a prime number.
For example, 165 323 can be divided by 31: 165 323 / 31 = 5 333.
For 165 323 to be a prime number, it would have been required that 165 323 has only two divisors, i.e., itself and 1.
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165 323 is an odd number, because it is not evenly divisible by 2.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 165 323 is about 406.599.
Thus, the square root of 165 323 is not an integer, and therefore 165 323 is not a square number.
The square of a number (here 165 323) is the result of the product of this number (165 323) by itself (i.e., 165 323 × 165 323); the square of 165 323 is sometimes called "raising 165 323 to the power 2", or "165 323 squared".
The square of 165 323 is 27 331 694 329 because 165 323 × 165 323 = 165 3232 = 27 331 694 329.
As a consequence, 165 323 is the square root of 27 331 694 329.
The multiples of 165 323 are all integers evenly divisible by 165 323, that is all numbers such that the remainder of the division by 165 323 is zero. There are infinitely many multiples of 165 323. The smallest multiples of 165 323 are: